IAR Grades 6-8 Geometry. Practice it free.

Solve real-world and mathematical problems involving angle, area, surface area, and volume, and understand the relationships among geometric figures. This Grades 6-8 reporting domain maps to 11 practice skills and 8 representative questions from the playable bank.

Grades 6-811 mapped skills

What the test measures

Geometry skills

solve real-world and mathematical problems involving angle measure, area, surface area, and volume
understand congruence and similarity using physical models, transparencies, or geometry software
solve real-world and mathematical problems involving area, surface area, and volume
solve real-world and mathematical problems involving volume of cylinders, cones, and spheres

Standards basis

Illinois Learning Standards incorporating the Common Core State Standards (CCSS-M) — Illinois

How the IAR reports it

IAR is Illinois’ state assessment built on the Illinois Learning Standards incorporating the Common Core, and its math design follows the PARCC-style blueprinting approach used for grades 3–8. ISBE’s resources page points to the PARCC mathematics model content frameworks, and the IAR page says the math evidence statements are aligned directly to the Common Core State Standards.

Blueprint & weighting

IAR uses the PARCC-derived / Illinois Assessment of Readiness (IAR) framework (by grade domains structure).

Official sources

Illinois State Board of Education – Illinois Assessment of Readiness
Illinois State Board of Education – Resources

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

A rectangular prism has length $3$ , width $3$ , and height $5$ . What is its volume?

$V = 3 \times 3 \times 5 = 45$ .

Practice playeasy

Two angles are complementary. One measures $5°$ . What is the other?

$90 - 5 = 85°$ .

Practice playeasy

A circle has a radius of $9$ yards. What is the area, in square yards, of the circle?

The area of a circle is $A = \pi r^{2}$ . Substitute $r = 9$ : $A = \pi(9)^{2} = 81\pi\textsf{.}$

Practice playeasy

Find the area of a parallelogram with base $b = 5$ and height $h = 10$ .

Parallelogram area $= b \cdot h = 5 \cdot 10 = 50$ .

Practice playeasy

A circle has radius $1$ . Using $\pi = 3$ , what is its area?

$A = \pi r^2 = 3 \times 1 = 3$ .

Practice playeasy

In $\triangle RST$ , $\angle R$ and $\angle T$ are congruent. The measure of each of these angles is $43.9^{\circ}$ . What is the measure of $\angle S$ ?